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Finding the Fourth Proportional to 171,879.40, 257,600.40 and 82,941.40

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Solution

The fourth proportional to 171,879.40, 257,600.40 and 82,941.40 is: 124,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,879.40 : 257,600.40 = 82,941.40 : x
  2. Step 2: Convert to fraction form
    171,879.40/257,600.40 = 82,941.40/x
  3. Step 3: Cross multiply
    171,879.40x = 257,600.40 × 82,941.40
  4. Step 4: Simplify right side
    171,879.40x = 21,365,737,816.56
  5. Step 5: Solve for x
    x = 21,365,737,816.56/171,879.40
  6. Step 6: Final answer
    x = 124,306.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.